IMagick is a native PHP extension to create and modify images using the ImageMagick API. ImageMagick Studio LLC did not write nor does it maintain the IMagick extension, however, IMagick users are welcome to discuss the extension here.

There are no direct equivalents in ImageMagick (thus not in Imagick) for these outputs. But you should be able to figure out the transformations and find the proper ImageMagick commands to combine to make the equivalent. In ImageMagick, you could create a 3D HALD image as PNG. Take it to Photoshop. Process the hald image to make the effect you want. Then bring the HALD image back to ImageMagick and use -hald-clut command to process any image to do the same. See https://www.imagemagick.org/Usage/color_mods/#hald-clut. In Imagick, see http://us3.php.net/manual/en/imagick.haldclutimage.php

My mentioned effects were working with the HALD image at the ImageMagick version 6.7 but when we have upgraded the ImageMagick version to 7.0.8 then suddenly the HALD image as per the suggestion is stopped working.

I have checked with IM command as well as Imagick commands but for both the it is not giving result same as photoshop.
Below is the input and HALD image and script & PS results.

I have one issue with the below command, ie the input image is showing Channel as RGB in photoshop and output from the below command is showing Channel as Gary in photoshop. You can see screen from URL https://www.screencast.com/t/1hxsmukgAQL.
Kindly let me know how we can fix this issue?

I have ran the below two commands but getting same result as mentioned in above URL.
exec("convert CloneOutput20190108040033.png hald-infrared.png -channel RGB -hald-clut +channel PNG24:2x.png");
And
exec("convert CloneOutput20190108040033.png hald-infrared.png -hald-clut PNG24:4x.png");